{"id":2626,"date":"2026-03-18T03:20:29","date_gmt":"2026-03-18T03:20:29","guid":{"rendered":"https:\/\/toolstecique.com\/?p=2626"},"modified":"2026-03-18T03:20:29","modified_gmt":"2026-03-18T03:20:29","slug":"what-is-the-rule-of-72-formula-examples","status":"publish","type":"post","link":"https:\/\/toolstecique.com\/tr\/what-is-the-rule-of-72-formula-examples\/","title":{"rendered":"72 Kural\u0131 Nedir? Form\u00fcl ve \u00d6rnekler"},"content":{"rendered":"\n\n\n
H\u0131zl\u0131 Cevap<\/strong><\/p>\n

72 Kural\u0131, sabit bir y\u0131ll\u0131k faiz oran\u0131yla paran\u0131z\u0131 ikiye katlaman\u0131n ne kadar s\u00fcrd\u00fc\u011f\u00fcn\u00fc g\u00f6steren basit bir zihinsel matematik k\u0131sayoludur. 72'yi y\u0131ll\u0131k getiri oran\u0131na b\u00f6l\u00fcn ve sonu\u00e7, yat\u0131r\u0131m\u0131n\u0131z\u0131 ikiye katlaman\u0131n yakla\u015f\u0131k y\u0131l say\u0131s\u0131d\u0131r.<\/p>\n

 <\/p>\n

Form\u00fcl: \u0130ki Kat\u0131na \u00c7\u0131kma S\u00fcresi (Y\u0131l) = 72 \u00f7 Y\u0131ll\u0131k Faiz Oran\u0131 (%)<\/p>\n

\u00d6rnek: %8 getiriyle \u2192 72 \u00f7 8 = 9 y\u0131lda ikiye katlan\u0131r.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u0130\u015fte bir soru: Yat\u0131r\u0131m\u0131n\u0131z kazan\u00e7 sa\u011flarsa... y\u0131lda %8<\/strong>Paran\u0131z\u0131n ikiye katlanmas\u0131 ne kadar s\u00fcrer? Bir hesap tablosu a\u00e7abilir, bir finans ders kitab\u0131na bakabilirsiniz; ya da 72'yi 8'e b\u00f6lerek cevab\u0131 iki saniyede bulabilirsiniz.<\/p>\n

Bu, 72 Kural\u0131<\/strong> \u2014 Yat\u0131r\u0131mc\u0131lar, ekonomistler ve finansal planlamac\u0131lar taraf\u0131ndan 500 y\u0131l\u0131 a\u015fk\u0131n s\u00fcredir kullan\u0131lan, son derece basit bir form\u00fcl. \u0130ster tasarruf hesaplar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131r\u0131yor olun, ister kredi kart\u0131 bakiyenizden endi\u015fe ediyor olun, ister emeklilik plan\u0131n\u0131z\u0131 yap\u0131yor olun, bu tek kural faiz oranlar\u0131na bak\u0131\u015f a\u00e7\u0131n\u0131z\u0131 sonsuza dek de\u011fi\u015ftirecek.<\/p>\n

Gelin her \u015feyi ayr\u0131nt\u0131l\u0131 olarak inceleyelim: form\u00fcl, \u00f6rnekler, tablo ve hesaplamalar\u0131 daha da kolayla\u015ft\u0131rmak i\u00e7in \u00fccretsiz bir hesap makinesi.<\/p>\n

72 Kural\u0131 Form\u00fcl\u00fc (\u0130ki Kullan\u0131m \u015eekli)<\/h2>\n

Form\u00fcl, \u00f6nceden bildiklerinize ba\u011fl\u0131 olarak her iki y\u00f6nde de i\u015fe yarar:<\/p>\n

Versiyon 1 \u2014 \u0130ki Kat\u0131na \u00c7\u0131kacak Y\u0131llar\u0131 Bulun<\/h3>\n\n\n\n
\u0130ki Kat\u0131na \u00c7\u0131kma S\u00fcresi (Y\u0131l) = 72 \u00f7 Y\u0131ll\u0131k Faiz Oran\u0131 (%)<\/p>\n

 <\/p>\n

Faiz oran\u0131n\u0131 biliyorsunuz. Paran\u0131n ikiye katlanmas\u0131n\u0131n ne kadar s\u00fcrd\u00fc\u011f\u00fcn\u00fc \u00f6\u011frenmek istiyorsunuz.<\/p>\n

%6 faiz oran\u0131yla: 72 \u00f7 6 = 12 y\u0131l<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

S\u00fcr\u00fcm 2 \u2014 \u0130htiyac\u0131n\u0131z Olan Oran\u0131 Bulun<\/h3>\n\n\n\n
Gerekli Oran (%) = 72 \u00f7 Sahip Oldu\u011funuz Y\u0131l Say\u0131s\u0131<\/p>\n

 <\/p>\n

Zaman \u00e7izelgenizi biliyorsunuz. Ne t\u00fcr bir getiriye ihtiyac\u0131n\u0131z oldu\u011funu bilmek istiyorsunuz.<\/p>\n

8 y\u0131lda iki kat\u0131na \u00e7\u0131karmak istiyorsan\u0131z: 72 \u00f7 8 = %9 y\u0131ll\u0131k getiri oran\u0131 gereklidir.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Ayn\u0131 form\u00fcl, sadece ters \u00e7evrilmi\u015f hali. Biri zaman\u0131, di\u011feri h\u0131z\u0131 hesapl\u0131yor. Her ikisini de kafan\u0131zda hesaplamak yakla\u015f\u0131k \u00fc\u00e7 saniye s\u00fcr\u00fcyor - hesap makinesine gerek yok. (Ancak kesin rakamlar istiyorsan\u0131z, \u00fccretsiz olan\u0131 kullanabilirsiniz.) ToolsTecique'de 72 Kural\u0131 Hesaplay\u0131c\u0131s\u0131<\/a> (Hem tahmini hem de kesin cevab\u0131 yan yana g\u00f6sterir.)<\/p>\n

72 Kural\u0131na Genel Bak\u0131\u015f: Farkl\u0131 Faiz Oranlar\u0131nda \u00d6rnekler<\/h2>\n

\u0130\u015fte yayg\u0131n faiz oranlar\u0131nda ikiye katlanma s\u00fcresinin nas\u0131l de\u011fi\u015fti\u011fi. Desen hemen a\u00e7\u0131k\u00e7a ortaya \u00e7\u0131k\u0131yor: Faiz oranlar\u0131ndaki k\u00fc\u00e7\u00fck farkl\u0131l\u0131klar sonu\u00e7ta b\u00fcy\u00fck farkl\u0131l\u0131klar yarat\u0131yor.<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n
Y\u0131ll\u0131k Oran<\/strong><\/td>\n\u0130ki Kat\u0131na \u00c7\u0131kmas\u0131 Y\u0131llar<\/strong><\/td>\nGer\u00e7ek D\u00fcnya Senaryosu<\/strong><\/td>\n<\/tr>\n<\/thead>\n
2%<\/td>\n36 y\u0131l<\/td>\nTemel tasarruf hesab\u0131 \/ d\u00fc\u015f\u00fck getirili tahvil<\/td>\n<\/tr>\n
4%<\/td>\n18 ya\u015f\u0131nda<\/td>\nMuhafazakar tahvil fonu<\/td>\n<\/tr>\n
6%<\/td>\n12 y\u0131l<\/td>\n\u00c7e\u015fitlendirilmi\u015f ETF veya endeks fonu<\/td>\n<\/tr>\n
7%<\/td>\n10,3 y\u0131l<\/td>\nS&P 500 uzun vadeli tarihsel ortalamas\u0131<\/td>\n<\/tr>\n
8%<\/td>\n9 y\u0131l<\/td>\nUzun vadeli \u00f6z sermaye yat\u0131r\u0131m\u0131<\/td>\n<\/tr>\n
10%<\/td>\n7,2 y\u0131l<\/td>\nAgresif b\u00fcy\u00fcme portf\u00f6y\u00fc<\/td>\n<\/tr>\n
12%<\/td>\n6 y\u0131l<\/td>\nY\u00fcksek getirili yat\u0131r\u0131m<\/td>\n<\/tr>\n
24%<\/td>\n3 y\u0131l<\/td>\nY\u0131ll\u0131k faiz oran\u0131yla kredi kart\u0131 borcu (sizin aleyhinize \u00e7al\u0131\u015f\u0131yor)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Son sat\u0131ra dikkat edin. 72 Kural\u0131, yat\u0131r\u0131mlarda oldu\u011fu gibi bor\u00e7larda da ac\u0131mas\u0131zca i\u015fliyor. Y\u0131ll\u0131k faiz oran\u0131yla 5.000 dolarl\u0131k kredi kart\u0131 borcu... Sadece 3 y\u0131lda iki kat\u0131na \u00e7\u0131karak 10.000 dolara ula\u015ft\u0131.<\/strong> E\u011fer hi\u00e7 \u00f6deme yapmazsan\u0131z. Bunu yaz\u0131l\u0131 olarak g\u00f6rmek, y\u00fcksek faizli borcu h\u0131zla \u00f6demek i\u00e7in g\u00fc\u00e7l\u00fc bir motivasyon kayna\u011f\u0131d\u0131r.<\/p>\n

Buna g\u00f6re Investopedia<\/a>, o S&P 500<\/span><\/span><\/strong> ortalama getiri sa\u011flam\u0131\u015ft\u0131r. enflasyon \u00f6ncesi y\u0131ll\u0131k yakla\u015f\u0131k<\/strong> ve hakk\u0131nda enflasyondan sonra yakla\u015f\u0131k %7<\/strong> uzun vadede.<\/p>\n

Konuyu Anlaman\u0131z\u0131 Sa\u011flayacak 3 Ger\u00e7ek D\u00fcnya \u00d6rne\u011fi<\/h2>\n

1. Sab\u0131rl\u0131 Yat\u0131r\u0131mc\u0131<\/h3>\n

Tarihsel ortalama getiri sa\u011flayan geni\u015f kapsaml\u0131 bir endeks fonuna 20.000 dolar yat\u0131r\u0131m yap\u0131yorsunuz. y\u0131lda %7<\/strong>72 Kural\u0131: 72 \u00f7 7 \u2248 10,3 y\u0131lda ikiye katlan\u0131r. Yani 20.000 dolar\u0131n\u0131z 10. y\u0131lda 40.000 dolara, 20. y\u0131lda 80.000 dolara \u00e7\u0131kar ve 30. y\u0131la kadar 160.000 dolar.<\/strong> \u2014 tek bir kuru\u015f bile eklemeden. Bu, tamamen sab\u0131rl\u0131 olman\u0131n getirdi\u011fi \u00fc\u00e7 katlama anlam\u0131na geliyor.<\/p>\n

2. Emeklilik Planlay\u0131c\u0131s\u0131<\/h3>\n

35 ya\u015f\u0131ndas\u0131n\u0131z ve emeklilik hesab\u0131n\u0131zda %8 faizle 15.000 dolar\u0131n\u0131z var. \u0130ki kat\u0131na \u00e7\u0131kma s\u00fcresi: 72 \u00f7 8 = 9 y\u0131l<\/strong>44 ya\u015f\u0131nda yakla\u015f\u0131k 30.000 dolar\u0131n\u0131z olacak. 53 ya\u015f\u0131nda yakla\u015f\u0131k 60.000 dolar\u0131n\u0131z. 62 ya\u015f\u0131nda yakla\u015f\u0131k 120.000 dolar\u0131n\u0131z. Erken ba\u015flamak, emeklilikten \u00f6nce daha fazla katlama anlam\u0131na gelir. Tam resminizi g\u00f6rmek i\u00e7in, ToolsTecique'de Emeklilik Tasarruf Sim\u00fclat\u00f6r\u00fc<\/a> Farkl\u0131 katk\u0131 miktarlar\u0131n\u0131 ve zaman \u00e7izelgelerini modellemenize olanak tan\u0131r.<\/p>\n

3. Enflasyon Ger\u00e7eklik Kontrol\u00fc<\/h3>\n

Y\u0131ll\u0131k %3 enflasyonla fiyatlar 72 \u00f7 3 s\u00fcrede iki kat\u0131na \u00e7\u0131kar. 24 y\u0131l<\/strong>Bu, bug\u00fcn s\u0131f\u0131r faizli bir hesapta duran 50.000 dolar\u0131n 24 y\u0131l sonra sadece 25.000 dolarl\u0131k bir sat\u0131n alma g\u00fcc\u00fcne sahip olaca\u011f\u0131 anlam\u0131na gelir. Paran\u0131z hareketsiz dururken g\u00fcvende de\u011fil; enflasyon sessizce ger\u00e7ek de\u011ferini yar\u0131ya indiriyor. Enflasyon Etki Hesaplay\u0131c\u0131s\u0131<\/a> Bu durumun kendi tasarruflar\u0131n\u0131z i\u00e7in tam olarak nas\u0131l g\u00f6r\u00fcnece\u011fini size g\u00f6sterebiliriz.<\/p>\n

Neden 72? (Ve Ger\u00e7ekten Ne Kadar Do\u011fru?)<\/h2>\n

\u0130ki kat\u0131na \u00e7\u0131kma s\u00fcresi i\u00e7in matematiksel olarak kesin say\u0131 \u015fudur: 69.3<\/strong> (ln(2) \u00d7 100'den t\u00fcretilmi\u015ftir). Peki neden 72 kullan\u0131yoruz?<\/p>\n

\u00c7\u00fcnk\u00fc 72'yi zihinden b\u00f6lmek \u00e7ok daha kolay. 1, 2, 3, 4, 6, 8, 9 ve 12'ye tam olarak b\u00f6l\u00fcnebilir; bunlar en s\u0131k kar\u015f\u0131la\u015ft\u0131\u011f\u0131n\u0131z faiz oranlar\u0131d\u0131r. Ve faiz oranlar\u0131 aras\u0131nda %6 ve<\/strong>Do\u011fruluk fark\u0131 ihmal edilebilir d\u00fczeydedir. %8'lik bir hata pay\u0131yla, 72 Kural\u0131 9 y\u0131l verir; kesin cevap ise 9,006 y\u0131ld\u0131r. Bu, 9 y\u0131l \u00fczerinden 2 g\u00fcnl\u00fck bir hata anlam\u0131na gelir.<\/p>\n

\u0130deal aral\u0131\u011f\u0131n d\u0131\u015f\u0131nda do\u011fruluk biraz azal\u0131r. \u00c7ok d\u00fc\u015f\u00fck faiz oranlar\u0131nda (%1-2) ikiye katlanma s\u00fcresini biraz fazla tahmin ederken, \u00e7ok y\u00fcksek faiz oranlar\u0131nda (+) biraz az tahmin eder. G\u00fcnl\u00fck yat\u0131r\u0131m kararlar\u0131 i\u00e7in ise fazlas\u0131yla yeterlidir.<\/p>\n

Yat\u0131r\u0131m\u0131n \u00d6tesinde 72 Kural\u0131<\/h2>\n

\u00c7o\u011fu insan bu kural\u0131 sadece yat\u0131r\u0131mlar i\u00e7in bilir. Ancak ayn\u0131 matematik, sabit bir y\u00fczde oran\u0131nda b\u00fcy\u00fcyen (veya k\u00fc\u00e7\u00fclen) her \u015fey i\u00e7in ge\u00e7erlidir:<\/p>\n